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Theorem int2bits-less-2pot-01

⊦ abs(j) ≤ 2 ^ (n→i(# int2bits(j)) - 1)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: int2bits-first-01, int2bits-2pot, int2bits-not-empty, int2bits-len-mon, int2bits-less-2pot,
Used spec theorems:
- int-abs/Abs-neg
- intnat/rax-01
Used simplifier rules:
- nat-basic1/one
- list-data/bitlista/lf-01
- list/bitlista/c
- list/bitlista/app
- intnat/n2n
- nat/pred-03
- nat-basic1/one-01
- nat/lels-01
- nat/le
- nat/le-num-02
- nat/lep-01
- nat-basic2/a
- nat-basic2/c
- list/bitlista/a
- list-last/bitlista/mk-len
- list/bitlista/len-02
- list/bitlista/len
- int-abs/sub-le-01
- int-abs/leone
- intnat/num-n2i-ls-02
- nat-basic1/z
- list-data/bitlista/l
- int-abs/lels-03
- int-basic2/add-c
- int-basic2/add-a
- int-abs/abs-08
- int-pot/abs-2pot
- int-abs/neg-07
- int-abs/neg-06
- int-basic1/ls-01
- int-abs/lels
- int-abs/Abs-pos
- int-abs/lels-01